The HCF of two numbers is 16 and their LCM is 480. If one of the numbers is 96, what is the other?

Explanation

1. 01

   $\operatorname{HCF} \times \operatorname{LCM}$ = product of the two numbers, so $16 \times 480 = 96$ × other.

2. 02

   Other number = $\frac{16 \times 480}{96} = \frac{7680}{96} = 80$.

3. 03

   Check: $\operatorname{HCF}(96, 80) = 16$ and $\operatorname{LCM}(96, 80) = 480$.